Browsing by Author "Dafang Zhao"

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    Some Generalized Fractional Integral Inequalities for Convex Functions with Applications
    (MDPI, 2022) Dafang Zhao; Muhammad Aamir Ali; Chanon Promsakon; Thanin Sitthiwirattham; M.A. Ali; Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, China; email: mahr.muhammad.aamir@gmail.com; T. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand; email: thanin_sit@dusit.ac.th
    In this paper, we establish a generalized fractional integrals identity involving some parameters and differentiable functions. Then, we use the newly established identity and prove different generalized fractional integrals inequalities like midpoint inequalities, trapezoidal inequalities and SimpsonÕs inequalities for differentiable convex functions. Finally, we give some applications of newly established inequalities in the context of quadrature formulas. © 2022 by the authors. Licensee MDPI, Basel, Switzerland.